Sky Q can be run without a broadband connection, to a very limited degree.
Some engineers have set it up without any broadband access, but they may refuse/object/delay during an installation setup to do so.
Some kind of internet access is needed for the setup of Sky Q, which can be done via a temporary 4g mobile connection.
You will miss out on the majority of catch up and On demand content, plus amnay of the Sky Q service offerings, all detailed in the link below.
https://www.sky.com/help/articles/features-available-without-broadband
Plus, within the last month or so with the launch of Sky Sports +, not only are the extra streams available only online now for Football, Golf, Tennis, F1, Rugby and other sports, including for F1 the race control options (onboards/timing/recaps etc), but all the older red button that encompassed some of the above and were previously provided via satellite (they came as part of a number of satellite hidden channels known as Sky Active) are all now only available via a broadbnd connection.
It would not be a good experience, as you will continually be going through menus on the Home Screen and the many other menus and rails seeing a message related to 'broadband connection not available' or missing in your case.
On powering up you will also see such messages and will have to each time have to dismiss them, once you move over to a satellite provisioned area, like a live channel or the epg/tv guide.
You will need a router/broadband connection of some sort if you are intending to have a Sky Q mini in another room or if you want to use some of the Sky Go options, like Sky Q home connection and remote record.
Even though the Sky boxes connect on their own internal mesh, they still need an active router/broadband to allow the mesh access to function.
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Sky Community Superuser
Sky Stream (2 pucks), Sky Ultrafast + using Sky SR203 hub. Sky Protect kit tester.
